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Approximation of differentiable functions by polynomial splines in domains with external peaks

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Ukrainian Mathematical Journal Aims and scope

Abstract

For unbounded domains Ωλ with external power-type peaks, we propose a method for the approximation of functionsf(x)∈ w r p (Ωλ) by polynomial splines in the metricw r p (Ωλ), 1≤p≤q≤∞, and present the corresponding estimates.

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References

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  4. V. B. Semenyuk, “Approximation of functions and their derivatives by certain splines in domains with external peaks,” in:Studies in the Theory of Approximation of Functions[in Russian], Institute of Mathematics, Ukrainian Academy of Sciences, Kiev (1991), pp. 100–109.

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Authors and Affiliations

  1. Rovno Pedagogical Institute, Rovno

    V. B. Semenyuk

Authors
  1. V. B. Semenyuk
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 46, No. 9, pp. 1224–1233, September, 1994.

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Semenyuk, V.B. Approximation of differentiable functions by polynomial splines in domains with external peaks. Ukr Math J 46, 1345–1355 (1994). https://doi.org/10.1007/BF01059425

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  • DOI: https://doi.org/10.1007/BF01059425

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